The "woofer" looks like a cheap little 3 inch speaker used on a cheap clock radio. Its voice coil diameter is only about 1/2 inch and its surround is paper, not rubber. It probably has a tiny magnet and probably has very poor bass response.
Your power supply has very poor voltage regulation because it uses a tiny choke and a resistor. Its filter capacitors appear to be much too small. I don't know if the power transformer is big enough since it is not shown.
If you have a sine-wave generator then you can test for the woofer resonance frequency. It should be about 100Hz or less in the enclosure for a small amout of bass or should be 40Hz or less in the enclosure for pretty good bass. I bet its resonance is 200Hz or higher like a bongo drum.